Question

when the repeating decimal 10 point 36 36 36 is written in simplest fractional form p/q find the value of of p + q​

Answer 1

Answer:

Decimal given = 36.3636.....

Let the given decimal be x

then,

x = 36.3636.....

10x = 3636.3636...

Now,

10x-x = 3636.3636...- 36.3636....

9x = 3600

x = p/q = 3600/9

p = 3600

q = 9

p+q = 3609